A study conducted in 2012 found that the length of Atlantic cod caught in nets in Karlskrona, Sweden is normally distributed with mean 52 cm and standard deviation 3.7 cm. 1. What is the probability that a single randomly caught Atlantic cod is between 59.4 and 55.7 cm? (Use the 68-95-99.7 Rule instead of a table or exact value). 2. What is the probability that a random sample of 49 Atlantic cod have an average length between 53.06 and 51.47 cm? (Use the 68-95-99.7 Rule instead of a table or exact value). 3. What do you notice about the above probabilities? The range (55.7, 59.4) is wider than (51.47, 53.06). What does this tell you about the shape of the distribution of individual lengths (from part (a)) compared to the distribution of sample average lengths (from part (b))?
A study conducted in 2012 found that the length of Atlantic cod caught in nets in Karlskrona, Sweden is
1. What is the
2. What is the probability that a random sample of 49 Atlantic cod have an average length between 53.06 and 51.47 cm? (Use the 68-95-99.7 Rule instead of a table or exact value).
3. What do you notice about the above probabilities? The
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